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4,399 Results Found

  • Article
  • Open Access
19 Citations
3,263 Views
15 Pages

26 January 2022

With the development and application of artificial intelligence, the technical methods of intelligent image processing and graphic design need to be explored to realize the intelligent graphic design based on traditional graphics such as pottery engr...

  • Article
  • Open Access
12 Citations
2,484 Views
26 Pages

5 July 2022

A color image encryption algorithm based on double fractional order chaotic neural network (CNN), interlaced dynamic deoxyribonucleic acid (DNA) encoding and decoding, zigzag confusion, bidirectional bit-level diffusion and convolution operation is p...

  • Article
  • Open Access
5 Citations
4,358 Views
17 Pages

4 December 2023

In this paper, we propose a compact and low-power mixed-signal approach to implementing convolutional operators that are often responsible for most of the chip area and power consumption of Convolutional Neural Network (CNN) processing chips. The con...

  • Article
  • Open Access
23 Citations
2,168 Views
14 Pages

This article defines a new operator called the q-Babalola convolution operator by using quantum calculus and the convolution of normalized analytic functions in the open unit disk. We then study a new class of analytic and bi-univalent functions defi...

  • Article
  • Open Access
3 Citations
1,977 Views
14 Pages

Convolution Kernel Function and Its Invariance Properties of Bone Fractal Operators

  • Zhimo Jian,
  • Gang Peng,
  • Chaoqian Luo,
  • Tianyi Zhou and
  • Yajun Yin

This article studies the error function and its invariance properties in the convolutional kernel function of bone fractal operators. Specifically, the following contents are included: (1) demonstrating the correlation between the convolution kernel...

  • Article
  • Open Access
2,475 Views
11 Pages

2 February 2023

The Fresnel transform (FrT) is commonly used to describe the free-space propagation of optical waves. In this work, we present new definitions for the convolution, correlation and generalized shift operations based on the FrT. The generalized shift o...

  • Article
  • Open Access
4 Citations
3,937 Views
9 Pages

16 November 2019

The gyrator transform (GT) is used for images processing in applications of light propagation. We propose new image processing operators based on the GT, these operators are: Generalized shift, convolution and correlation. The generalized shift is gi...

  • Article
  • Open Access
1 Citations
1,215 Views
20 Pages

Self-Convolution and Its Invariant Properties for the Kernel Function of the Aortic Fractal Operator

  • Chaoqian Luo,
  • Yajun Yin,
  • Gang Peng,
  • Tianyi Zhou,
  • Xiaobin Yu and
  • Dongan Li

In this paper, we explore the self-convolution of the kernel function of the aortic fractal operator. Previous research has established a model named “physical fractal”, and confirmed that the hemodynamics of the aorta can be inscribed by...

  • Article
  • Open Access
1,328 Views
26 Pages

23 September 2023

We consider an operator of multiplication by a complex-valued potential in L2(R), to which we add a convolution operator multiplied by a small parameter. The convolution kernel is supposed to be an element of L1(R), while the potential is a Fourier i...

  • Article
  • Open Access
9 Citations
3,395 Views
20 Pages

A Study of OWA Operators Learned in Convolutional Neural Networks

  • Iris Dominguez-Catena,
  • Daniel Paternain and
  • Mikel Galar

4 August 2021

Ordered Weighted Averaging (OWA) operators have been integrated in Convolutional Neural Networks (CNNs) for image classification through the OWA layer. This layer lets the CNN integrate global information about the image in the early stages, where mo...

  • Article
  • Open Access
1 Citations
981 Views
11 Pages

Convolution Results with Subclasses of p-Valent Meromorphic Function Connected with q-Difference Operator

  • Ekram E. Ali,
  • Rabha M. El-Ashwah,
  • Abeer M. Albalahi,
  • Rabab Sidaoui,
  • Marwa Ennaceur and
  • Miguel Vivas-Cortez

13 November 2024

Applying the operator of q-difference, we examine the convolution properties of the subclasses MSζ,qr,p(A,B) and MKζ,qr,p(A,B) of p-valent meromorphic functions defined in the punctured open-unit disc. We derived specific inclusion features...

  • Feature Paper
  • Article
  • Open Access
4 Citations
1,137 Views
48 Pages

21 October 2024

In this article, for the first time, the univariate symmetrized and perturbed hyperbolic tangent activated convolution-type operators of three kinds are introduced. Their approximation properties are presented, i.e., the quantitative convergence to t...

  • Article
  • Open Access
6 Citations
1,592 Views
17 Pages

Bi-Univalent Functions Based on Binomial Series-Type Convolution Operator Related with Telephone Numbers

  • Hasan Bayram,
  • Kaliappan Vijaya,
  • Gangadharan Murugusundaramoorthy and
  • Sibel Yalçın

7 October 2023

This paper introduces two novel subclasses of the function class Σ for bi-univalent functions, leveraging generalized telephone numbers and Binomial series through convolution. The exploration is conducted within the domain of the open unit dis...

  • Article
  • Open Access
2,419 Views
10 Pages

On-Chip Photonic Convolutional Processing Lights Up Fourier Neural Operator

  • Zilong Tao,
  • Hao Ouyang,
  • Qiuquan Yan,
  • Shiyin Du,
  • Hao Hao,
  • Jun Zhang and
  • Jie You

Fourier Neural Operators (FNOs) have gained increasing attention for their effectiveness in extracting frequencydomain features and efficiently approximating functions, making them wellsuited for classification tasks. However, the absence of speciali...

  • Article
  • Open Access
3 Citations
3,118 Views
10 Pages

28 October 2022

This paper introduces a novel and efficient physical unclonable function (PUF) extraction method for SRAM. The proposed one-layer convolution scheme is based on a convolution operation, which significantly enhances the reliability of the PUF. To furt...

  • Article
  • Open Access
3 Citations
2,138 Views
12 Pages

29 May 2023

To avoid the failure of pumping units, the monitoring of operating points with a subsequent assessment of the condition of the pump may support the decision for required maintenance. For that purpose, convolutional neural networks (CNNs) are implemen...

  • Article
  • Open Access
7 Citations
2,832 Views
17 Pages

11 March 2022

The standard of manual operation in smart grid, which require accurate manipulation, is high, especially in experimental, practice, and training systems based on virtual reality (VR). In the VR training system, data gloves are often used to obtain th...

  • Article
  • Open Access
931 Views
35 Pages

11 November 2024

In this article, we introduce, for the first time, multivariate symmetrized and perturbed hyperbolic tangent-activated convolution-type operators in three forms. We present their approximation properties, that is, their quantitative convergence to th...

  • Article
  • Open Access
655 Views
31 Pages

20 September 2025

Industrial process monitoring increasingly relies on sensor-generated time-series data, yet the lack of labels, high variability, and operational noise make it difficult to extract meaningful patterns using conventional methods. Existing clustering t...

  • Article
  • Open Access
7 Citations
2,506 Views
18 Pages

15 July 2022

Digital image forensics has become necessary as an emerging technology. Images can be adulterated effortlessly using image tools. The latest techniques are available to detect whether an image is adulterated by a particular operator. Most of the exis...

  • Communication
  • Open Access
8 Citations
3,264 Views
9 Pages

Fourier Convolution Operation on Metasurface-Based Hologram in Microwave Region

  • Shuai Yang,
  • Chunsheng Guan,
  • Xumin Ding,
  • Kuang Zhang,
  • Shah Nawaz Burokur and
  • Qun Wu

In this paper, a 0.1λ0-thick 1-bit coding metasurface is proposed to achieve a polarization-insensitive hologram under oblique incidence, utilizing compact ground-backed patch unit cells. Fourier convolution theory in a digital signal processing syst...

  • Article
  • Open Access
73 Citations
9,291 Views
22 Pages

Vision-Based Spacecraft Pose Estimation via a Deep Convolutional Neural Network for Noncooperative Docking Operations

  • Thaweerath Phisannupawong,
  • Patcharin Kamsing,
  • Peerapong Torteeka,
  • Sittiporn Channumsin,
  • Utane Sawangwit,
  • Warunyu Hematulin,
  • Tanatthep Jarawan,
  • Thanaporn Somjit,
  • Soemsak Yooyen and
  • Pisit Boonsrimuang
  • + 1 author

30 August 2020

The capture of a target spacecraft by a chaser is an on-orbit docking operation that requires an accurate, reliable, and robust object recognition algorithm. Vision-based guided spacecraft relative motion during close-proximity maneuvers has been con...

  • Article
  • Open Access
3 Citations
2,736 Views
22 Pages

9 January 2023

Currently, neural network algorithms based on time-domain features are used for change-point detection problems, and they have proven to be effective. However, due to the instability of human biosignals, establishing a training dataset with labels is...

  • Feature Paper
  • Article
  • Open Access
2,437 Views
12 Pages

The head and flow rate of a pump characterize the pump performance, which help determine whether maintenance is needed. In the proposed method, instead of a traditional flowmeter and manometer, the operating points are identified using data collected...

  • Article
  • Open Access
4 Citations
3,609 Views
13 Pages

5 July 2019

The number and range of the candidate vehicle license plate (VLP) region affects the result of the VLP extraction symmetrically. Therefore, in order to improve the VLP extraction rate, many candidate VLP regions are selected. However, there is a prob...

  • Article
  • Open Access
26 Citations
4,073 Views
24 Pages

4 March 2022

Vibration analysis is an established method for fault detection and diagnosis of rolling element bearings. However, it is an expert oriented exercise. To relieve the experts, the use of Artificial Intelligence (AI) techniques such as deep neural netw...

  • Feature Paper
  • Article
  • Open Access
212 Citations
16,954 Views
22 Pages

A Convolutional Neural Network Approach for Assisting Avalanche Search and Rescue Operations with UAV Imagery

  • Mesay Belete Bejiga,
  • Abdallah Zeggada,
  • Abdelhamid Nouffidj and
  • Farid Melgani

24 January 2017

Following an avalanche, one of the factors that affect victims’ chance of survival is the speed with which they are located and dug out. Rescue teams use techniques like trained rescue dogs and electronic transceivers to locate victims. However, the...

  • Article
  • Open Access
96 Citations
9,951 Views
17 Pages

12 October 2018

The satellite remote-sensing-based damage-mapping technique has played an indispensable role in rapid disaster response practice, whereas the current disaster response practice remains subject to the low damage assessment accuracy and lag in timeline...

  • Article
  • Open Access
3 Citations
3,614 Views
22 Pages

19 July 2019

In order to solve the problem of the inaccuracy of the traditional online operation risk assessment model based on a physical mechanism and the inability to adapt to the actual operation of massive online operation monitoring data, this paper propose...

  • Article
  • Open Access
1,565 Views
18 Pages

Some Subclasses of Spirallike Multivalent Functions Associated with a Differential Operator

  • Ekram Elsayed Ali,
  • Mohamed Kamal Aouf,
  • Rabha Mohamed El-Ashwah and
  • Teodor Bulboacă

25 August 2022

In this paper we study convolution properties of spirallike multivalent functions defined by using a differential operator and higher order derivatives. Using convolution product relations we determine necessary and sufficient conditions for multival...

  • Brief Report
  • Open Access
2 Citations
2,045 Views
10 Pages

Fractional differential operators have recently been linked with numerous other areas of science, technology and engineering studies. For a real variable, the class of fractional differential and integral operators is evaluated. In this study, we loo...

  • Article
  • Open Access
7 Citations
3,758 Views
17 Pages

10 September 2022

The modeling, computational complexity, and accuracy of spatio-temporal models are the three major foci in the field of video action recognition. The traditional 2D convolution has low computational complexity, but it cannot capture the temporal rela...

  • Article
  • Open Access
4 Citations
1,622 Views
15 Pages

Inclusion Properties of p-Valent Functions Associated with Borel Distribution Functions

  • Ebrahim Amini,
  • Mojtaba Fardi,
  • Mahmoud A. Zaky,
  • António M. Lopes and
  • Ahmed S. Hendy

14 August 2023

In this paper, we define a differential operator on an open unit disk Δ by using the novel Borel distribution (BD) operator and means of convolution. This operator is adopted to introduce new subclasses of p-valent functions through the princip...

  • Article
  • Open Access
2 Citations
1,422 Views
14 Pages

7 December 2022

The outcome of the research presented in this paper is the definition and investigation of two new subclasses of meromorphic functions. The new subclasses are introduced using a differential operator defined considering second-order differential poly...

  • Article
  • Open Access
2 Citations
2,065 Views
9 Pages

This paper aims to provide sufficient conditions for starlikeness and convexity of Hadamard product (convolution) of certain multivalent analytic functions with positive real parts. Moreover, the starlikeness conditions for a certain integral operato...

  • Article
  • Open Access
1,504 Views
16 Pages

11 July 2024

This article introduces (p,q)-analogs of the gamma integral operator and discusses their expansion to power functions, (p,q)-exponential functions, and (p,q)-trigonometric functions. Additionally, it validates other findings concerning (p,q)-analogs...

  • Article
  • Open Access
3 Citations
1,535 Views
24 Pages

Fractional-Order Correlation between Special Functions Inspired by Bone Fractal Operators

  • Zhimo Jian,
  • Chaoqian Luo,
  • Tianyi Zhou,
  • Gang Peng and
  • Yajun Yin

29 September 2024

In recent years, our research on biomechanical and biophysical problems has involved a series of symmetry issues. We found that the fundamental laws of the aforementioned problems can all be characterized by fractal operators, and each type of operat...

  • Article
  • Open Access
291 Citations
13,734 Views
18 Pages

19 December 2017

This paper proposes a novel deep learning framework named bidirectional-convolutional long short term memory (Bi-CLSTM) network to automatically learn the spectral-spatial features from hyperspectral images (HSIs). In the network, the issue of spectr...

  • Feature Paper
  • Article
  • Open Access
2 Citations
2,120 Views
13 Pages

On a Generalized Convolution Operator

  • Poonam Sharma,
  • Ravinder Krishna Raina and
  • Janusz Sokół

10 November 2021

Recently in the paper [Mediterr. J. Math. 2016, 13, 1535–1553], the authors introduced and studied a new operator which was defined as a convolution of the three popular linear operators, namely the Sǎlǎgean operator, the Ruscheweyh operator and...

  • Article
  • Open Access
4 Citations
1,778 Views
11 Pages

22 March 2023

In this article, we use the concept of symmetric q-calculus and convolution in order to define a symmetric q-differential operator for multivalent functions. This operator is an extension of the classical Ruscheweyh differential operator. By using th...

  • Article
  • Open Access
6 Citations
1,259 Views
20 Pages

Subclasses of Noshiro-Type Starlike Harmonic Functions Involving q-Srivastava–Attiya Operator

  • Gangadharan Murugusundaramoorthy,
  • Kaliappan Vijaya,
  • Daniel Breaz and
  • Luminiţa-Ioana Cotîrlǎ

21 November 2023

In this paper, the harmonic function related to the q-Srivastava–Attiya operator is described to introduce a new class of complex harmonic functions that are orientation-preserving and univalent in the open-unit disk. We also cover some importa...

  • Article
  • Open Access
3 Citations
3,536 Views
19 Pages

27 July 2021

Convolution operations have a significant influence on the overall performance of a convolutional neural network, especially in edge-computing hardware design. In this paper, we propose a low-power signed convolver hardware architecture that is well...

  • Article
  • Open Access
1,280 Views
17 Pages

Fuzzy Differential Subordination Associated with a General Linear Transformation

  • Sarfraz Nawaz Malik,
  • Nazar Khan,
  • Ferdous M. O. Tawfiq,
  • Mohammad Faisal Khan,
  • Qazi Zahoor Ahmad and
  • Qin Xin

8 November 2023

In this study, we investigate a possible relationship between fuzzy differential subordination and the theory of geometric functions. First, using the Al-Oboudi differential operator and the Babalola convolution operator, we establish the new operato...

  • Article
  • Open Access
10 Citations
1,943 Views
21 Pages

In this paper we present a method of studying a convolution operator under the Sonin conditions imposed on the kernel. The particular case of the Sonin kernel is a kernel of the fractional integral Riemman–Liouville operator, other various types of t...

  • Article
  • Open Access
1 Citations
2,398 Views
16 Pages

19 December 2020

In this paper, we recall a more generalized integral transform, a generalized convolution product and a generalized first variation on function space. The Gaussian process and the bounded linear operators on function space are used to define them. We...

  • Article
  • Open Access
2 Citations
1,738 Views
16 Pages

Pascu-Rønning Type Meromorphic Functions Based on Sălăgean-Erdély–Kober Operator

  • Sheza M. El-Deeb,
  • Gangadharan Murugusundaramoorthy,
  • Kaliappan Vijaya and
  • Alhanouf Alburaikan

16 April 2023

In the present investigation, we introduce a new class of meromorphic functions defined in the punctured unit disk Δ*:={ϑ∈C:0<|ϑ|<1} by making use of the Erdély–Kober operator Iς,ϱτ,&ka...

  • Article
  • Open Access
6 Citations
2,968 Views
14 Pages

GC-MLP: Graph Convolution MLP for Point Cloud Analysis

  • Yong Wang,
  • Guohua Geng,
  • Pengbo Zhou,
  • Qi Zhang,
  • Zhan Li and
  • Ruihang Feng

5 December 2022

With the objective of addressing the problem of the fixed convolutional kernel of a standard convolution neural network and the isotropy of features making 3D point cloud data ineffective in feature learning, this paper proposes a point cloud process...

  • Article
  • Open Access
25 Citations
3,186 Views
17 Pages

In this paper, we deal with the general fractional integrals and the general fractional derivatives of arbitrary order with the kernels from a class of functions that have an integrable singularity of power function type at the origin. In particular,...

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